11200202211100 has 144 divisors (see below), whose sum is σ = 29240471545600. Its totient is φ = 3637705489920.

The previous prime is 11200202211091. The next prime is 11200202211101. The reversal of 11200202211100 is 111220200211.

11200202211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200202211101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321430279 + ... + 321465121.

Almost surely, 2^{11200202211100} is an apocalyptic number.

11200202211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200202211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620235772800).

11200202211100 is an abundant number, since it is smaller than the sum of its proper divisors (18040269334500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11200202211100 is a wasteful number, since it uses less digits than its factorization.

11200202211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59052 (or 59045 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11200202211100 its reverse (111220200211), we get a palindrome (11311422411311).

The spelling of 11200202211100 in words is "eleven trillion, two hundred billion, two hundred two million, two hundred eleven thousand, one hundred".